Home
Class 12
PHYSICS
if m,m(n) and m(p) are the masses of ""...

if `m,m_(n) and m_(p)` are the masses of `""_(z)X^(A)` nucleus neutron and prtons respectively then.

A

`M(A,Z)=ZM_(p)+(A-Z)M_(n)-BE`

B

`M(A,Z)=ZM_(p)+(A-Z)M_(n)+BE//C^(2)`

C

`M(A,Z)=ZM_(p)+(A-Z)M_(n)-BE//C^(2)`

D

`M(A,Z)=ZM_(p)+(A-Z)M_(n)+BE`

Text Solution

Verified by Experts

The correct Answer is:
C
Mass defect
`Deltam=ZM_(p)+(A-Z)M_(n)-M(A,Z)`
Binding energy `=DeltamC^(2)`
`BE=[ZM_(p)+(A-Z)M_(n)-M(A,Z)].C^(2)`
`M(A,Z)=ZM_(p)+(A-Z)M_(n)-(BE)/(C^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

If m,m_n and m_p are masses of ._Z X^A nucleus, neutron and proton respectively.

If m,m_n and m_p are masses of ._Z X^A nucleus, neutron and proton respectively.

If M, m_n and m_p are masses (in kg) of nucleus X_z^A , neutron and proton respectively, then mass defect (Deltam) is equal to

M, M_(n) & M_(p) denotes the masses of a nucleous of ._(Z)X^(A) a neutron, and a proton respectively. If the nucleus is separated in to its individual protons and neutrons then

If M_(o) is the mass of an oxygen isotope ._(8)O^(17), M_(p) and M_(N) are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is:

A nucleus ._(Z)^(A)X has mass represented by m(A, Z) . If m_(p) and m_(n) denote the mass of proton and neutron respectively and BE the blinding energy (in MeV), then

Let M_(1) and M_(2) be the masses of the nuclei ""_(1)H^(2) and ""_(2)H^(4) respectively. Aslo let m_(p) and m_(n) be the masses of proton and neutron respectively.

A system of binary stars of mass m_(A) and m_(B) are moving in circular orbits of radii r_(A) and r_(B) respectively. If T_(A) and T_(B) are at the time periods of masses m_(A) and m_(B) respectively then

The mass of a nucleus ._(Z)^(A)X is less that the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus.The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of masses m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M'. only if (m_(3)+m_(4)) gt M' . The masses of some neutral atoms are given in the table below: |{:(._(1)^(1)H ,1.007825u , ._(1)^(2)H,2.014102u,._(1)^(3)H,3.016050u,._(2)^(4)He,4.002603u),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,._(30)^(70)Zn,69.925325u, ._(34)^(82)Se,81.916709u),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.974455u,._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u):}| The correct statement is:

m_(P) and m_(n) are masses of proton and neutron respectively. An element of mass m has Z protons and N neutrons, then